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Finding the Third Proportional to 101,575 and 218,760

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Solution

The third proportional to 101,575 and 218,760 is: 471,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,575 : 218,760 = 218,760 : x
  2. Step 2: Convert to fraction form
    101,575/218,760 = 218,760/x
  3. Step 3: Cross multiply
    101,575x = 218,760 × 218,760
  4. Step 4: Simplify right side
    101,575x = 47,855,937,600
  5. Step 5: Solve for x
    x = 47,855,937,600/101,575
  6. Step 6: Final answer
    x = 471,138.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.